Find the measure of angle 1.
152
115
mZ1 =
Please help mee:(

37°

Step-by-step explanation:

We have been given the diagram of the triangle;

 To find the angle I;

 We need to apply one of the geometry laws,

The sum of adjacent internal angles of a triangle gives the external angle;

So;

      I + 115  = 152

   Solve for I;

      I  = 152 - 115 = 37°

20.33%

Step-by-step explanation:

We have that the mean (m) is equal to 87.5, the standard deviation (sd) 6.25 and the sample size (n) = 12

They ask us for P (x <86)

For this, the first thing is to calculate z, which is given by the following equation:

z = (x - m) / (sd / (n ^ 1/2))

We have all these values, replacing we have:

z = (86 - 87.5) / (6.25 / (12 ^ 1/2))

z = -0.83

With the normal distribution table (attached), we have that at that value, the probability is:

P (z <-0.83) = 0.2033

The probability is 20.33%